2013/05/03 by Rafail V. Abramov, Abramov, Rafail V., Marc P. Kjerland +1
Computer Science · Economics, Econometrics and Finance · #Advanced Mathematical Modeling in Engineering #Complex Systems and Time Series Analysis #Nonlinear Dynamics and Pattern Formation
paper · pdf · doi:10.48550/arxiv.1305.0862
In real-world geophysical applications (such as predicting the climate\nchange), the reduced models of real-world complex multiscale dynamics are used\nto predict the response of the actual multiscale climate to changes in various\nglobal atmospheric and oceanic parameters. However, while a reduced model may\nbe adjusted to match a particular dynamical regime of a multiscale process, it\nis unclear why it should respond to external perturbations in the same way as\nthe underlying multiscale process itself. In the current work, the authors\nstudy the statistical behavior of a reduced model of the linearly coupled\nmultiscale Lorenz 96 system in the vicinity of a chosen dynamical regime by\nperturbing the reduced model via a set of forcing parameters and observing the\nresponse of the reduced model to these external perturbations. Comparisons are\nmade to the response of the underlying multiscale dynamics to the same set of\nperturbations. Additionally, practical viability of linear response\napproximation via the Fluctuation-Dissipation theorem is studied for the\nreduced model.\n